Kirk was at practice Friday. He is the eighth Cardinal to be put on the reserve/COVID-19 list this season.
His addition to the list likely means Kirk won't be able to play Sunday in Arizona's season finale. That would be a major blow to Arizona's depth at receiver, considering Larry Fitzgerald is listed as questionable with a groin injury. DeAndre Hopkins was limited on Thursday with a hip injury, but he practiced in full on Friday.
The Cardinals are not optimistic that Fitzgerald will be able to play against the Rams, a source told ESPN's Adam Schefter.
Kirk has 48 catches for 621 yards and a career-high six touchdowns this season.